The velocity of money is:

Question

BlackTom AI · Accepted Answer

Velocity of money (V) is defined by the equation MV = PY, so V = PY / M — the average number of times a unit of money is used to purchase final goods and services in a period.

1. Relevant knowledge points and concepts
- Quantity equation: M × V = P × Y, where M = money stock, V = velocity, P = price level, Y = real output.
- PY is nominal GDP (total dollar value of final goods and services).
- Velocity is a ratio that links money supply to nominal spending (transactions for final goods/services).

2. Complete reasoning process step by step
- Start with MV = PY (identity from monetary theory).
- Solve for V: V = (P × Y) / M.
- Interpret numerator: P × Y equals total dollar spending on final goods and services (nominal GDP).
- Interpret denominator: M is the stock of money available.
- Therefore V equals how many dollars of purchases occur per dollar of money stock — i.e., how often each dollar is used in final-goods transactions during the period.

3. Calculations and intermediate steps
- MV = PY
- V = PY / M
- Example: if PY = $10 trillion and M = $2 trillion, then V = 10 / 2 = 5 → each dollar is used on average 5 times to buy final goods/services.

4. Why the correct answer is correct
- The derived formula V = PY/M directly shows velocity measures the average frequency a dollar circulates in purchases of final goods and services. That description matches option c.

5. Why the other options are incorrect
- a. number of times a dollar is used for financial assets: Velocity measures spending on final goods/services, not trades of financial assets.
- b. ratio of money stock to interest rates: No theoretical identity links money stock divided by interest rates to velocity; interest rates affect money demand but are not the definition of V.
- d. the ratio of money stock to high-powered money: That ratio is the money multiplier (M / H), not velocity.

6. Conclusion
From MV = PY and the interpretation of each term, the velocity of money is the average number of times a dollar is spent on final goods and services; therefore the correct answer is c.

The velocity of money is:Single choice

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